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    <title>MaplePrimes - Newest Questions</title>
    <link>http://www.mapleprimes.com/questions</link>
    <language>en-us</language>
    <copyright>2026 Maplesoft, A Division of Waterloo Maple Inc.</copyright>
    <generator>Maplesoft Document System</generator>
    <lastBuildDate>Tue, 11 Aug 2026 02:28:04 GMT</lastBuildDate>
    <pubDate>Tue, 11 Aug 2026 02:28:04 GMT</pubDate>
    <itunes:subtitle />
    <itunes:summary />
    <description>The questions most recently asked on MaplePrimes</description>
    <image>
      <url>http://www.mapleprimes.com/images/mapleprimeswhite.jpg</url>
      <title>MaplePrimes - Newest Questions</title>
      <link>http://www.mapleprimes.com/questions</link>
    </image>
    <item>
      <title>Local curve distance sought</title>
      <link>http://www.mapleprimes.com/questions/243729-Local-Curve-Distance-Sought?ref=Feed:MaplePrimes:New%20Questions</link>
      <itunes:summary>&lt;p&gt;For the purpose of practicing with Maple, I have worked on a definite integral in the attached file. I found it on the Internet. According to a side calculation, it can only be calculated using famous special functions or series expansions. That is why I am only interested in the numerical evaluation here. According to auxiliary calculations, it can only be computed using famous special functions or a series expansion. It is known that the series expansion of the antiderivative converges very rapidly. Therefore, for comparison purposes, I calculated the values ​​for integration limits of 10 and 100 instead of infinity. In the first graph, the two result curves appear to coincide perfectly. Is there a way to zoom in locally - like using a magnifying glass - to make the difference in the ordinate values ​​visible?&lt;/p&gt;

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			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;img alt="int(sinh((Pi-a)*x)/(cosh(Pi*x)*sinh(a*x)), x = -100 .. 100)" height="66" src="/view.aspx?sf=243729_question/204e9384f0a91c2edc8d7f583be5c82d.gif" style="vertical-align:-28px" width="200"&gt;&lt;/p&gt;

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&lt;p&gt;&lt;a href="/view.aspx?sf=243729_question/testint3.mw"&gt;Download testint3.mw&lt;/a&gt;&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;For the purpose of practicing with Maple, I have worked on a definite integral in the attached file. I found it on the Internet. According to a side calculation, it can only be calculated using famous special functions or series expansions. That is why I am only interested in the numerical evaluation here. According to auxiliary calculations, it can only be computed using famous special functions or a series expansion. It is known that the series expansion of the antiderivative converges very rapidly. Therefore, for comparison purposes, I calculated the values ​​for integration limits of 10 and 100 instead of infinity. In the first graph, the two result curves appear to coincide perfectly. Is there a way to zoom in locally - like using a magnifying glass - to make the difference in the ordinate values ​​visible?&lt;/p&gt;

&lt;form name="worksheet_form"&gt;&lt;input name="md.ref" type="hidden" value="CFF34EF461DDAD4C701FEC291A3B4D7F"&gt;
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			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;img alt="int(sinh((Pi-a)*x)/(cosh(Pi*x)*sinh(a*x)), x = -100 .. 100)" height="66" src="/view.aspx?sf=243729_question/204e9384f0a91c2edc8d7f583be5c82d.gif" style="vertical-align:-28px" width="200"&gt;&lt;/p&gt;

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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(1)&lt;/td&gt;
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&lt;input name="sequence" type="hidden" value="1"&gt; &lt;input name="cmd" type="hidden" value="none"&gt;&lt;/form&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=243729_question/testint3.mw"&gt;Download testint3.mw&lt;/a&gt;&lt;/p&gt;
</description>
      <guid>243729</guid>
      <pubDate>Mon, 10 Aug 2026 14:31:32 Z</pubDate>
      <itunes:author>Alfred_F</itunes:author>
      <author>Alfred_F</author>
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    <item>
      <title>CPU vs GPU matrix calculations</title>
      <link>http://www.mapleprimes.com/questions/243727-CPU-Vs-GPU-Matrix-Calculations?ref=Feed:MaplePrimes:New%20Questions</link>
      <itunes:summary>&lt;p&gt;Hello,&lt;/p&gt;

&lt;p&gt;I found this sample code that determine the time to do matrix multiplications using cpus and gpus. I was surprised that the speedup factor was less than one.&amp;nbsp; I also did a similar speed test using python pytorch code on the same computer. The speedup factor was remarkable. Please find my mistakes, thanks.&lt;/p&gt;

&lt;p&gt;MAPLE CODE:&lt;/p&gt;

&lt;p&gt;kernelopts(version);&lt;br&gt;
with(LinearAlgebra);&lt;br&gt;
with(CUDA);&lt;br&gt;
n := 4000;&lt;br&gt;
M1 := RandomMatrix(n, n, datatype = float[8]);&lt;br&gt;
M2 := RandomMatrix(n, n, datatype = float[8]);&lt;br&gt;
printf(&amp;quot;CUDA enabled? %a\n&amp;quot;, IsEnabled());&lt;br&gt;
tNoCUDA := time[real](M1 . M2);&lt;br&gt;
printf(&amp;quot;Time without CUDA: %.3f seconds\n&amp;quot;, tNoCUDA);&lt;br&gt;
prevSetting := Enable(true);&lt;br&gt;
printf(&amp;quot;Previous CUDA setting: %a\n&amp;quot;, prevSetting);&lt;br&gt;
printf(&amp;quot;CUDA enabled now? %a\n&amp;quot;, IsEnabled());&lt;br&gt;
tCUDA := time[real](M1 . M2);&lt;br&gt;
printf(&amp;quot;Time with CUDA: %.3f seconds\n&amp;quot;, tCUDA);&lt;br&gt;
printf(&amp;quot;Speedup factor: %.2f\n&amp;quot;, evalf(tNoCUDA/tCUDA));&lt;br&gt;
props := Properties();&lt;br&gt;
printf(&amp;quot;CUDA Device Properties:\n&amp;quot;);&lt;br&gt;
props;&lt;br&gt;
Enable(false);&lt;br&gt;
printf(&amp;quot;CUDA enabled after disabling? %a\n&amp;quot;, IsEnabled());&lt;/p&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;

&lt;p&gt;RESULTS:&lt;/p&gt;

&lt;p&gt;&amp;nbsp; Maple 2026.0, X86 64 WINDOWS, Mar 05 2026, Build ID 2001916&lt;/p&gt;

&lt;p&gt;CUDA enabled? false&lt;br&gt;
Time without CUDA: 0.288 seconds&lt;br&gt;
Previous CUDA setting: false&lt;br&gt;
CUDA enabled now? true&lt;br&gt;
Time with CUDA: 0.439 seconds&lt;br&gt;
Speedup factor: 0.66&lt;br&gt;
CUDA Device Properties:&lt;/p&gt;

&lt;p&gt;[TABLE([&amp;quot;Clock Rate&amp;quot; = 2692000, &amp;quot;Resisters Per Block&amp;quot; = 65536,&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&amp;nbsp; &amp;quot;ID&amp;quot; = 0, &amp;quot;Texture Alignment&amp;quot; = 512,&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&amp;nbsp; &amp;quot;Max Grid Size&amp;quot; = [2147483647, 65535, 65535],&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&amp;nbsp; &amp;quot;Memory Pitch&amp;quot; = 2147483647, &amp;quot;Major&amp;quot; = 12,&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&amp;nbsp; &amp;quot;MultiProcessor Count&amp;quot; = 36, &amp;quot;Shared Memory Per Block&amp;quot; = 49152,&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&amp;nbsp; &amp;quot;Minor&amp;quot; = 0, &amp;quot;Name&amp;quot; = &amp;quot;NVIDIA GeForce RTX 5060 Ti&amp;quot;,&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&amp;nbsp; &amp;quot;Max Threads Dimensions&amp;quot; = [1024, 1024, 64], &amp;quot;Warp Size&amp;quot; = 32,&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&amp;nbsp; &amp;quot;Total Global Memory&amp;quot; = 4294967295,&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&amp;nbsp; &amp;quot;Max Threads Per Block&amp;quot; = 1024, &amp;quot;Device Overlap&amp;quot; = 1,&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&amp;nbsp; &amp;quot;Total Constant Memory&amp;quot; = 65536,&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&amp;nbsp; &amp;quot;Kernel Exec Timeout Enabled&amp;quot; = true])]&lt;/p&gt;

&lt;p&gt;&lt;br&gt;
CUDA enabled after disabling? false&lt;br&gt;
&amp;nbsp;&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;Hello,&lt;/p&gt;

&lt;p&gt;I found this sample code that determine the time to do matrix multiplications using cpus and gpus. I was surprised that the speedup factor was less than one.&amp;nbsp; I also did a similar speed test using python pytorch code on the same computer. The speedup factor was remarkable. Please find my mistakes, thanks.&lt;/p&gt;

&lt;p&gt;MAPLE CODE:&lt;/p&gt;

&lt;p&gt;kernelopts(version);&lt;br /&gt;
with(LinearAlgebra);&lt;br /&gt;
with(CUDA);&lt;br /&gt;
n := 4000;&lt;br /&gt;
M1 := RandomMatrix(n, n, datatype = float[8]);&lt;br /&gt;
M2 := RandomMatrix(n, n, datatype = float[8]);&lt;br /&gt;
printf(&amp;quot;CUDA enabled? %a\n&amp;quot;, IsEnabled());&lt;br /&gt;
tNoCUDA := time[real](M1 . M2);&lt;br /&gt;
printf(&amp;quot;Time without CUDA: %.3f seconds\n&amp;quot;, tNoCUDA);&lt;br /&gt;
prevSetting := Enable(true);&lt;br /&gt;
printf(&amp;quot;Previous CUDA setting: %a\n&amp;quot;, prevSetting);&lt;br /&gt;
printf(&amp;quot;CUDA enabled now? %a\n&amp;quot;, IsEnabled());&lt;br /&gt;
tCUDA := time[real](M1 . M2);&lt;br /&gt;
printf(&amp;quot;Time with CUDA: %.3f seconds\n&amp;quot;, tCUDA);&lt;br /&gt;
printf(&amp;quot;Speedup factor: %.2f\n&amp;quot;, evalf(tNoCUDA/tCUDA));&lt;br /&gt;
props := Properties();&lt;br /&gt;
printf(&amp;quot;CUDA Device Properties:\n&amp;quot;);&lt;br /&gt;
props;&lt;br /&gt;
Enable(false);&lt;br /&gt;
printf(&amp;quot;CUDA enabled after disabling? %a\n&amp;quot;, IsEnabled());&lt;/p&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;

&lt;p&gt;RESULTS:&lt;/p&gt;

&lt;p&gt;&amp;nbsp; Maple 2026.0, X86 64 WINDOWS, Mar 05 2026, Build ID 2001916&lt;/p&gt;

&lt;p&gt;CUDA enabled? false&lt;br /&gt;
Time without CUDA: 0.288 seconds&lt;br /&gt;
Previous CUDA setting: false&lt;br /&gt;
CUDA enabled now? true&lt;br /&gt;
Time with CUDA: 0.439 seconds&lt;br /&gt;
Speedup factor: 0.66&lt;br /&gt;
CUDA Device Properties:&lt;/p&gt;

&lt;p&gt;[TABLE([&amp;quot;Clock Rate&amp;quot; = 2692000, &amp;quot;Resisters Per Block&amp;quot; = 65536,&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&amp;nbsp; &amp;quot;ID&amp;quot; = 0, &amp;quot;Texture Alignment&amp;quot; = 512,&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&amp;nbsp; &amp;quot;Max Grid Size&amp;quot; = [2147483647, 65535, 65535],&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&amp;nbsp; &amp;quot;Memory Pitch&amp;quot; = 2147483647, &amp;quot;Major&amp;quot; = 12,&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&amp;nbsp; &amp;quot;MultiProcessor Count&amp;quot; = 36, &amp;quot;Shared Memory Per Block&amp;quot; = 49152,&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&amp;nbsp; &amp;quot;Minor&amp;quot; = 0, &amp;quot;Name&amp;quot; = &amp;quot;NVIDIA GeForce RTX 5060 Ti&amp;quot;,&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&amp;nbsp; &amp;quot;Max Threads Dimensions&amp;quot; = [1024, 1024, 64], &amp;quot;Warp Size&amp;quot; = 32,&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&amp;nbsp; &amp;quot;Total Global Memory&amp;quot; = 4294967295,&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&amp;nbsp; &amp;quot;Max Threads Per Block&amp;quot; = 1024, &amp;quot;Device Overlap&amp;quot; = 1,&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&amp;nbsp; &amp;quot;Total Constant Memory&amp;quot; = 65536,&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&amp;nbsp; &amp;quot;Kernel Exec Timeout Enabled&amp;quot; = true])]&lt;/p&gt;

&lt;p&gt;&lt;br /&gt;
CUDA enabled after disabling? false&lt;br /&gt;
&amp;nbsp;&lt;/p&gt;
</description>
      <guid>243727</guid>
      <pubDate>Mon, 10 Aug 2026 13:26:27 Z</pubDate>
      <itunes:author>Gillee</itunes:author>
      <author>Gillee</author>
    </item>
    <item>
      <title>Ordering of symbols in textplot</title>
      <link>http://www.mapleprimes.com/questions/243724-Ordering-Of-Symbols-In-Textplot?ref=Feed:MaplePrimes:New%20Questions</link>
      <itunes:summary>&lt;p&gt;Hello:&lt;/p&gt;

&lt;p&gt;For educational purposes, I want to define the zeta function on a plot using textplot, so I write&lt;/p&gt;

&lt;p&gt;textplot([2,3,Zeta(sigma+i*t)=Sum(1/n^(sigma+i*t),n=1..infinity)]...&lt;/p&gt;

&lt;p&gt;But the characters &amp;quot;sigma+it&amp;quot; show up as &amp;quot;it+sigma&amp;quot; rather than &amp;quot;sigma+it&amp;quot; which is how most people would naturally read it.&lt;/p&gt;

&lt;p&gt;Is there any way that I can convince textplot to order the output the way I set it?&lt;/p&gt;

&lt;p&gt;I&amp;#39;ve tried single quotes, i.e. &amp;#39;sigma+it&amp;#39;&amp;nbsp;but that doesn&amp;#39;t work.&lt;/p&gt;

&lt;p&gt;Thank you.&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;Hello:&lt;/p&gt;

&lt;p&gt;For educational purposes, I want to define the zeta function on a plot using textplot, so I write&lt;/p&gt;

&lt;p&gt;textplot([2,3,Zeta(sigma+i*t)=Sum(1/n^(sigma+i*t),n=1..infinity)]...&lt;/p&gt;

&lt;p&gt;But the characters &amp;quot;sigma+it&amp;quot; show up as &amp;quot;it+sigma&amp;quot; rather than &amp;quot;sigma+it&amp;quot; which is how most people would naturally read it.&lt;/p&gt;

&lt;p&gt;Is there any way that I can convince textplot to order the output the way I set it?&lt;/p&gt;

&lt;p&gt;I&amp;#39;ve tried single quotes, i.e. &amp;#39;sigma+it&amp;#39;&amp;nbsp;but that doesn&amp;#39;t work.&lt;/p&gt;

&lt;p&gt;Thank you.&lt;/p&gt;
</description>
      <guid>243724</guid>
      <pubDate>Mon, 10 Aug 2026 04:46:46 Z</pubDate>
      <itunes:author>Michael</itunes:author>
      <author>Michael</author>
    </item>
    <item>
      <title>Dual numbers and  automatic differentiation</title>
      <link>http://www.mapleprimes.com/questions/243723-Dual-Numbers-And--Automatic-Differentiation?ref=Feed:MaplePrimes:New%20Questions</link>
      <itunes:summary>&lt;p&gt;I learned about automatic differentiation from an AI. Could you please tell me, what does Maple have for working with dual numbers in this regard?&amp;nbsp;&lt;br&gt;
(I am experiencing some minor internet issues, so my response to your reply may be significantly delayed.)&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;I learned about automatic differentiation from an AI. Could you please tell me, what does Maple have for working with dual numbers in this regard?&amp;nbsp;&lt;br /&gt;
(I am experiencing some minor internet issues, so my response to your reply may be significantly delayed.)&lt;/p&gt;
</description>
      <guid>243723</guid>
      <pubDate>Sat, 08 Aug 2026 14:01:20 Z</pubDate>
      <itunes:author>one man</itunes:author>
      <author>one man</author>
    </item>
    <item>
      <title>Type checking for a kind of set</title>
      <link>http://www.mapleprimes.com/questions/243721-Type-Checking-For-A-Kind-Of-Set?ref=Feed:MaplePrimes:New%20Questions</link>
      <itunes:summary>&lt;p&gt;I am trying to add this to my type list in a package, but cannot get it to work.&lt;/p&gt;

&lt;pre class="prettyprint"&gt;
TypeTools:-AddType(_L3DP, set(satisfies(s -&amp;gt; type(s, [algebraic $ 3])),&amp;#39;Vector[column](3, algebraic)&amp;#39;));&lt;/pre&gt;

&lt;p&gt;when I test with this I get an error.&lt;/p&gt;

&lt;pre class="prettyprint"&gt;
 type({[7,8,9],&amp;lt;1,2,3&amp;gt;},:-_L3DP);
Error, testing against an invalid type&lt;/pre&gt;

&lt;p&gt;or this&amp;nbsp;&lt;/p&gt;

&lt;pre class="prettyprint"&gt;
type({[7,8,9],&amp;lt;1,2,3&amp;gt;},set(satisfies(s -&amp;gt; type(s, [algebraic $ 3])),&amp;#39;Vector[column](3, algebraic)&amp;#39;));
Error, testing against an invalid type&lt;/pre&gt;
</itunes:summary>
      <description>&lt;p&gt;I am trying to add this to my type list in a package, but cannot get it to work.&lt;/p&gt;

&lt;pre class="prettyprint"&gt;
TypeTools:-AddType(_L3DP, set(satisfies(s -&amp;gt; type(s, [algebraic $ 3])),&amp;#39;Vector[column](3, algebraic)&amp;#39;));&lt;/pre&gt;

&lt;p&gt;when I test with this I get an error.&lt;/p&gt;

&lt;pre class="prettyprint"&gt;
 type({[7,8,9],&amp;lt;1,2,3&amp;gt;},:-_L3DP);
Error, testing against an invalid type&lt;/pre&gt;

&lt;p&gt;or this&amp;nbsp;&lt;/p&gt;

&lt;pre class="prettyprint"&gt;
type({[7,8,9],&amp;lt;1,2,3&amp;gt;},set(satisfies(s -&amp;gt; type(s, [algebraic $ 3])),&amp;#39;Vector[column](3, algebraic)&amp;#39;));
Error, testing against an invalid type&lt;/pre&gt;
</description>
      <guid>243721</guid>
      <pubDate>Fri, 07 Aug 2026 00:48:53 Z</pubDate>
      <itunes:author>Ronan</itunes:author>
      <author>Ronan</author>
    </item>
    <item>
      <title>How make beautiful figures?</title>
      <link>http://www.mapleprimes.com/questions/243719-How-Make-Beautiful-Figures?ref=Feed:MaplePrimes:New%20Questions</link>
      <itunes:summary>&lt;p&gt;How do I vectorize a Maple graph&amp;mdash;that is, export it in PDF quality&amp;mdash;and add X and Y axis labels along with annotations?&lt;/p&gt;

&lt;p&gt;By &amp;quot;annotations,&amp;quot; I mean something like &amp;quot;green curve = 39T&amp;quot; written directly on the figure.&lt;/p&gt;

&lt;p&gt;I need a more complete comand. After the comand, eu can ajust how I liked.&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;How do I vectorize a Maple graph&amp;mdash;that is, export it in PDF quality&amp;mdash;and add X and Y axis labels along with annotations?&lt;/p&gt;

&lt;p&gt;By &amp;quot;annotations,&amp;quot; I mean something like &amp;quot;green curve = 39T&amp;quot; written directly on the figure.&lt;/p&gt;

&lt;p&gt;I need a more complete comand. After the comand, eu can ajust how I liked.&lt;/p&gt;
</description>
      <guid>243719</guid>
      <pubDate>Wed, 05 Aug 2026 18:33:15 Z</pubDate>
      <itunes:author>Gabriel Barcellos</itunes:author>
      <author>Gabriel Barcellos</author>
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